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1364504505 = 357135916943
BaseRepresentation
bin101000101010100…
…1010111110111001
310112002120000021220
41101111022332321
510243303121010
6343222022253
745546045150
oct12125127671
93462500256
101364504505
11640255481
12320b77989
13189901320
14cd312597
157ebd2970
hex5154afb9

1364504505 has 64 divisors (see below), whose sum is σ = 2732728320. Its totient is φ = 565998336.

The previous prime is 1364504501. The next prime is 1364504521. The reversal of 1364504505 is 5054054631.

It is not a de Polignac number, because 1364504505 - 22 = 1364504501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1364504501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72064 + ... + 89006.

It is an arithmetic number, because the mean of its divisors is an integer number (42698880).

Almost surely, 21364504505 is an apocalyptic number.

1364504505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1364504505 is an abundant number, since it is smaller than the sum of its proper divisors (1368223815).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1364504505 is a wasteful number, since it uses less digits than its factorization.

1364504505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17030.

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 1364504505 is about 36939.2001131589. The cubic root of 1364504505 is about 1109.1535101348.

The spelling of 1364504505 in words is "one billion, three hundred sixty-four million, five hundred four thousand, five hundred five".

Divisors: 1 3 5 7 13 15 21 35 39 59 65 91 105 177 195 273 295 413 455 767 885 1239 1365 2065 2301 3835 5369 6195 11505 16107 16943 26845 50829 80535 84715 118601 220259 254145 355803 593005 660777 999637 1101295 1541813 1779015 2998911 3303885 4625439 4998185 6997459 7709065 12995281 14994555 20992377 23127195 34987295 38985843 64976405 90966967 104961885 194929215 272900901 454834835 1364504505